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THE QUESTION IS ATTACHED BELOW

The value of a, b and c can be calculated using the inverse function.The calculated the value of a= 2, b=1 and c= 0.25

The inverse function of a function is defined if f is a function that undoes the operation  [tex]f^{-1}[/tex]

The inverse of f exists if and only if f is bijective, and if it exists, is denoted by [tex]f^{-1}[/tex] .

It is given that the function [tex]\rm F(x)=Log_{0.5}x[/tex] is and its inverse is

[tex]f^{-1}(x)=0.5^x[/tex] .

Substitute the value of x= -1 in a given inverse function and calculate the value of a.

[tex]f^{-1}(x)=0.5^x[/tex]

[tex]f^{-1}(-1)=0.5^{-1}[/tex]

[tex]f^{-1}(-1)=2[/tex]

Substitute the value of x  is 0 in the given inverse function.

[tex]f^{-1}(x)=0.5^x[/tex]

[tex]f^{-1}(0)=0.5^0[/tex]

[tex]f^{-1}(0)=1[/tex]

Substitute the value of x  is 2 in the given inverse function.

[tex]f^{-1}(x)=0.5^x[/tex]

[tex]f^{-1}(2)=0.5^2[/tex]

[tex]f^{-1}(2)=0.25[/tex]

Thus the value of a, b and c can be calculated using the inverse function.The calculated the value of a= 2, b=1 and c= 0.25

To know more about the Inverse function follow

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Answer:

a = 2

b = 1

c = 0.25

Which graph shows the logarithmic function

f(x) = log0.5x ?

B.

Step-by-step explanation:

did it on ED :)

P = sum of the sides

P = 1,8k - 5 + (3,5 + 6,1k) + (k + 1,5)

  = 1,8k + 6,1k + k - 5 + 3,5 + 1,5

  =        8,9k        

Answer:

false

Step-by-step explanation:

Dilations increase the measure of angles. Dilations of a triangle are similar to the original triangle.

Answer:

1.3*10^-3

Step-by-step explanation:

When using scientific notation, if you are moving to the left it is a positive exponent. If you are moving to the right it is a negative exponent. since we moved the decimal point to the right, the exponent will be negative.

Answer:

1.3x10^-3

Step-by-step explanation:

if you make the number bigger then you add a negative sign to your answer and since we moved the decimal 3 spaces to left to make it bigger, it is 10^-3

Answer:

111

Step-by-step explanation:

you need to subtract the amount of land taken up by the water and food sources and divide the rest by 3.

Answer:

C

Step-by-step explanation:

candy = c. and Isabelle has five fewer meaning to subtract from the amount destiny has (c)

Brianna's car

Step-by-step explanation:

Looking at the first equation the car decreases by 15% each year.

So our depreciation rate is 15%

The second equation represents an exponential depreciation with a depreciation rate given by;

1-0.9=0.1×100=10%

So our depreciation rate is 10%

Of course Brianna's car is decreasing in value quicker, since the car loses more value as the depreciation rate is higher.

Answer: 70 people went.

Step-by-step explanation:

12p + $50 = $890

890-50= 840

840/12= 70

Answer:

Part A

1) Line

2) Angle

3) Point

4) Line Segment

5) Ray

6) Plane

Part B

1) Line Segment

2) Draw number 3 in part a times 2 with different letters

Answer:

An right angle is an angle which is 90 degrees and obtuse angle which is greater than 90 degrees. There’s also an acute angle which is shorter than 90 degrees.

Step-by-step explanation:

What is a right angle and obtuse angle?

Answer: A right angle is defined as a 90-degree angle.

Step-by-step explanation:

A right angle in trigonometry is an angle of approximately 90 degrees or /2 radians, which corresponds to a quarter turn. Right angles are formed when the endpoint of a ray is on a line and the adjacent angles are equal.

Answer: An angle that is greater than 90 degrees but less than 180 degrees is called an obtuse angle.

Step-by-step explanation:

The smaller angle is the obtuse angle. It is greater than 90 degrees but less than 180 degrees.

Answer:

I thinks it's true but I'm not 100 %

Answer:

Answer:

3) -82 4)-70 5) -15 6)-14 7)5 8)15 9)16 10)16 11)64 12)21 13)1500 in the middle 14)450

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Jumping = 36/4 = 9

Lifting weights = 36/2 = 18

Running = 36-(9+18) = 9

Answer:

9 people

Step-by-step explanation:

First, we need to find out what fraction of the class is running. If 1/4 of the class is jumping, and 1/2 of the class are lifting weights, and the remaining people are running, this can be written like this. 4/4 - 1/4 - 2/4 = 1/4

1/4 of the class is running. Now we need to find out how many students is 1/4 of the class. To find this, we need to divide 36 by 4, which is 9. This means 9 people are running in gym.

I hope this helps :)

Answer:

90 : 54 : 36

Step-by-step explanation:

Add the ratios:  5 + 3 + 2 = 10

Divide 180 kg by 10:  180 ÷ 10 = 18

Multiply each number of the ratio by 18:

5 × 18 : 3 × 18 : 2 × 18

⇒ 90 : 54 : 36

Answer:

I think its A

Step-by-step explanation:

x=√13 I think it is that one makes sense

Answer:

A.)

Step-by-step explanation:

First you need to take the square root from both sides to isolate x. Since you cannot find an exact decimal answer for the square root of 13 you leave it as + or - [tex]\sqrt{13\\}[/tex].

Answer:

I believe the answer would be 122 degrees due to them being a consecutive angle on the same transverse!

Answer:

68

Step-by-step explanation:

Knowing that;

∠EHD and ∠CHF are vertical angles

Since ∠EHD = 68 Thus, ∠CHF = 68

Look at picture below for more information;

~Learn with Lenvy~

Answer:

Step-by-step explanation:

Let M be the number of men donors and W the number of women donors.

We are told that M + W => 217  {"They noticed on Saturday that more than 217 people donated money."]

The total donations of no more than $3,702 consists of Men:  ($16)M and Women:  ($18)W

This makes the following equation:

18W + 16M <= 3702  ["no more than $3,702 was donated"]

The two equations are:

18W + 16M <= 3702, and

M + W => 217

=====

Extra credit:

To find the number of men and women donors, let's assume the equations are correct without the inequality signs.

Rearrange:

M + W => 217

M = 217-W

Now use this definition of M in the second equation:

18W + 16(217-W) = 3702

'

Solve for W:  W = 115:  There were 115 women donors at $18 each:  $207.

That means 217 - 115 or 102 men at $16 each:  &1632

Total donations of $3702

Answer:

A

Step-by-step explanation:

the chart shows a line that going up vastly by large margins.

Answer:

Step-by-step explanation:

Answer:

The total cost is $4.45

Step-by-step explanation:

I just added them

Step-by-step explanation:

let a= cost of sandwich=2.95dollars

b=cost of apple= 0.45dollars

c= cost of juice= 1.05 dollars

then t= total cost is calulated as:

t=a+b+c

t=2.95+0.45+1.05

t=4.45

Answer:

  15.07 hours

Step-by-step explanation:

The given relationship lets us write an equation in that uses rates in terms of tasks per hour. Let 'a' represent the number of hours it takes the assistant to grade exams alone. Then (a-2) is the number of hours it takes the experienced teacher. Working together, their total rate is ...

  1/a + 1/(a-2) = 1/7 . . . . . . . tasks per hour

  7(a -2) +7(a) = a(a -2) . . . . . multiply by 7a(a -2)

  14a -14 = a^2 -2a . . . . . . . eliminate parentheses

  a^2 -16a = -14 . . . . . . . . . subtract 14a

  a^2 -16a +65 = 50 . . . . add 64 to complete the square

  (a -8)^2 = 50 . . . . . . . write as a square

  a -8 = ±5√2 . . . . . . take the square root

  a = 8 +5√2 ≈ 15.072

It would take the teaching assistant about 15.07 hours to grade the exams alone.

_____

Additional comment

The quadratic also gives an extraneous solution of about 0.93 hours. This results in a negative task time for the experienced teacher. That solution makes no sense in the given scenario, so we ignored it.

For reason 3, look at how we got from step 2 to step 3.

In this case, we combined like terms or simplifies the left side.

So the reason for statement 3 is simplifying.

For statement 4, we look at how we got from step 3 to step 4.

Notice that we subtracted the same quantity, -12x, from both sides of the

equation and this is the subtraction property of equality.

For statement 5, we look at how we got from step 4 to step 5.

Here, we added the same quantity to both sides

and this is called the addition property of equality.

Finally, we use the division property of equality,

to get the final solution to the equation, x = 2/3.

The circle graph is used to show the preference of each customer

32 customers preferred bread

From the question, we have:

Bread = 47%

Total customers = 69

So, the number of customers that preferred bread is:

Bread = 47% * 69

Evaluate the product

Bread = 32.43

Approximate

Bread = 32

Hence, 32 customers preferred bread

Read more about circle graphs at:

https://brainly.com/question/24461724

BODMAS

Step-by-step explanation:

brackets,of,dividing, multiplication, subtraction

Answer:

A≈11039.41

Step-by-step explanation:

Plug in values

A=8300(1.0055)^{52}

A=8300(1.0055)

52

Simplify

A=11039.4131948

A=11039.4131948

Round)

A≈11039.41

After a 13-year span, the money in the account would be  $11.038.4.

As mentioned in the question,
Aubree invested $8,300 in an account paying an interest rate of 2.2% compounded quarterly.

Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.

Here,
principal(P) = 8300
rate(r) = 2.2% = 0.022
Time(a) = 13 years,
n = 4
Apply compound interest identity,
Amount = principal[1 + r/n]ⁿᵃ
Amount = 8300[ 1 + 0.022/4]⁴ˣ¹³
Amount = $11.038.4

Thus, After a 13-year span, the money in the account would be  $11.038.4.

Learn more about compound interest here: https://brainly.com/question/14295570

#SPJ2

Answer:

D

Step-by-step explanation:

If there are 500 students and only 350 are going then just divide 350 by 500. (350 / 500 = 0.7